If the potential difference across a conductor is doubled, the rate of heat production will become
Correct answer: D. four times
- A. double
- B. 2^1/2 times
- C. half
- D. four times
Explanation
The rate of heat production (power) in a conductor is given by P=V^2/R , where V is the potential difference and R is the resistance. If V is doubled, then V^2 becomes four times its original value. Therefore, the rate of heat production becomes four times its initial value.Incorrect options: (a) Doubling the potential difference does not double the rate of heat production; it increases it by a larger factor.(b) 2^1/2 times is not the correct relationship for doubling the potential difference.(c) Halving the potential difference would decrease the rate of heat production, not increase it.
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